the longest distance of a binary tree

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the longest distance of a binary tree

个人信息：就读于燕大本科软件project专业 眼下大三;

本人博客：google搜索“cqs_2012”就可以;

个人爱好：酷爱数据结构和算法，希望将来从事算法工作为人民作出自己的贡献;

博客内容：the longest distance of a binary tree;

博客时间：2014-4-26;

编程语言：C++ ;

编程坏境：Windows 7 专业版 x64;

编程工具：vs2008 32位编译器;

制图工具：office 2010 ppt;

硬件信息：7G-3 笔记本;

my words

simple life  is just good.

words for my brother: i miss you 

problem

the longest distance of a binary tree(problem from beauty of programming)

eg: the following binary tree

the longest distance is 8 

my solution 

recursion solution

int _Longest_distance(node * T,int & deep)
{
    if(T == NULL)
    {
		deep = 0;
		return 0;
    }
    else
    {
		int left  = 0;
		int right = 0;
		int Ldeep = 0;
		int Rdeep = 0;
	
		left = _Longest_distance(T->left,Ldeep);
		right = _Longest_distance(T->right,Rdeep);
		deep = (Ldeep > Rdeep? Ldeep:Rdeep) + 1;
		int result = left > right?left :right;
		result = result> (Ldeep + Rdeep)? result:(Ldeep+Rdeep);
		return result ;
    }
}

experiment

program run out: 7

my code

test.cpp

#include<iostream>
using namespace std;



class node
{
public:
    int data ;
    node * left ;
    node * right ;
    node()
	{
        data = 0 ;
        left = right = NULL ;
    }
};


void _MakeTree(node * &T,int *data,int length);
void _Insert(node * & T,int data);

void _MakeTree(node * &T,int *data,int length)
{
    for(int i=0;i<length;i++)
    {
		_Insert(T,data[i]);
    }   
}


void _Insert(node * & T,int data)
{
    if(T == NULL)
    {
		T = new node();
		T -> data = data;
    }
    else
    {
		node * p = T;
		while(p != NULL)
		{
			if(data == p->data )
			break;
			else if(data < p->data )
			{
				if(p->left != NULL)
				{
					p = p ->left;
				}
				else{
					p->left = new node();
					(p->left) ->data = data;
					break;
				}
			}
			else{
				if(p->right != NULL)
					p = p->right;
				else{
					p->right = new node() ;
					(p->right) ->data = data ;
					break ;
				}
			}
		}
    }
}


int _Longest_distance(node * T,int & deep)
{
    if(T == NULL)
    {
		deep = 0;
		return 0;
    }
    else
    {
		int left  = 0;
		int right = 0;
		int Ldeep = 0;
		int Rdeep = 0;
	
		left = _Longest_distance(T->left,Ldeep);
		right = _Longest_distance(T->right,Rdeep);
		deep = (Ldeep > Rdeep?
 Ldeep:Rdeep) + 1;
		int result = left > right?left :right;
		result = result> (Ldeep + Rdeep)? result:(Ldeep+Rdeep);
		return result ;
    }
}



int main()
{
    int data[] = {8,6,3,7,2,1,13,12,15,17};

    node * T = NULL;
    _MakeTree(T,data,10);
    int deep =0;
    cout<<_Longest_distance(T,deep)<<endl;
    system("pause");
    return 0;
}